Find the Laplace transform of each of the following functions
Chapter 12, Problem 12.13(choose chapter or problem)
Find the Laplace transform of each of the following functions:
a) \(f(t)=20 e^{-500(t-10)} u(t-10)\).
b) \(\begin{aligned}f(t)= & (5 t+20)[u(t+4)-u(t+2)] \\ & -5 t[u(t+2)-u(t-2)] \\ & +(5 t-20)[u(t-2)-u(t-4)]\end{aligned}\).
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